112001012112 has 80 divisors (see below), whose sum is σ = 318764508480. Its totient is φ = 33603648000.

The previous prime is 112001012069. The next prime is 112001012113. The reversal of 112001012112 is 211210100211.

It is a super-2 number, since 2×112001012112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112001012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996787 + ... + 1103442.

It is an arithmetic number, because the mean of its divisors is an integer number (3984556356).

Almost surely, 2^112001012112 is an apocalyptic number.

112001012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112001012112 is an abundant number, since it is smaller than the sum of its proper divisors (206763496368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112001012112 is a wasteful number, since it uses less digits than its factorization.

112001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100352 (or 2100346 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112001012112 its reverse (211210100211), we get a palindrome (323211112323).

The spelling of 112001012112 in words is "one hundred twelve billion, one million, twelve thousand, one hundred twelve".